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The logic function F- AC + ABB + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer?

The logic function F- AC + ABB + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Boolean Function Implementation by using MUX Task ID: 54B For implementing any Boolean function of n-variables with a 2": 1 MUX, we required some general procedure. (1) Express the function in its sum of product (SOP) form. In the ordered sequence of n-variables, connect (n-1) variables to the select line and the single highest order position variable to the input line with complemented or uncomplemented form including 0 and 1. (ii) List the inputs of MUX (all the minterms) in two rows. The 1st row lists all those minterms where single variable is complemented and in 2nd row with uncomplemented form. Circle all the minterms of the function and inspect each column separately. If two minterms in a column are not circled, apply '0' to the corresponding MUX input. (iii) If two minterms are circled, apply '1' to the corresponding MUX input. (iv) If one minterm is circled (either upper row or lower row), then its front value is the corresponding MUX input. Now, The logic function F = AC + ABD + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer? MUX O12
Transcribed Image Text:Boolean Function Implementation by using MUX Task ID: 54B For implementing any Boolean function of n-variables with a 2": 1 MUX, we required some general procedure. (1) Express the function in its sum of product (SOP) form. In the ordered sequence of n-variables, connect (n-1) variables to the select line and the single highest order position variable to the input line with complemented or uncomplemented form including 0 and 1. (ii) List the inputs of MUX (all the minterms) in two rows. The 1st row lists all those minterms where single variable is complemented and in 2nd row with uncomplemented form. Circle all the minterms of the function and inspect each column separately. If two minterms in a column are not circled, apply '0' to the corresponding MUX input. (iii) If two minterms are circled, apply '1' to the corresponding MUX input. (iv) If one minterm is circled (either upper row or lower row), then its front value is the corresponding MUX input. Now, The logic function F = AC + ABD + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer? MUX O12
If two minterms in a column are not circled, apply '0' to the corresponding MUX input. (ii) If two minterms are circled, apply '1' to the corresponding MUX input. (iv) If one minterm is circled (either upper row or lower row), then its front value is the corresponding MUX input. Now, The logic function F = AC + ABD + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer? MUX 2 4. F 6 7 D C A LSB
Transcribed Image Text:If two minterms in a column are not circled, apply '0' to the corresponding MUX input. (ii) If two minterms are circled, apply '1' to the corresponding MUX input. (iv) If one minterm is circled (either upper row or lower row), then its front value is the corresponding MUX input. Now, The logic function F = AC + ABD + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer? MUX 2 4. F 6 7 D C A LSB
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