In an 8-bit binary number, which is the most significant bit (MSB)?   What is the decimal representation of each of the following unsigned binary integers? 00110101 b. 10010110 c. 11001100

1. In an 8-bit binary number, which is the most significant bit (MSB)?

1. What is the decimal representation of each of the following unsigned binary integers?
2. 00110101 b. 10010110 c. 11001100

1. What is the sum of each pair of binary integers?
2. 10101111 + 11011011
3. 10010111 + 11111111
4. 01110101 + 10101100

1. Calculate binary 00001101 minus 00000111.

1. How many bits are used by each of the following data types?
2. word
3. doubleword
4. quadword
5. double quadword

1. What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers?
2. 4095
3. 65534
4. 42319

1. What is the hexadecimal representation of each of the following binary numbers?
2. 0011 0101 1101 1010
3. 1100 1110 1010 0011
4. 1111 1110 1101 1011

1. What is the binary representation of the following hexadecimal numbers? 
2. 0126F9D4
3. 6ACDFA95
4. F69BDC2A

1. Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 
2. 3A
3. 1BF 
4. 1001

1. Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 
2. 62
3. 4B3 
4. 29F

1. Whatisthe16-bithexadecimalrepresentationofeachofthefollowingsigneddecimalintegers? 
2. –24
3. –331

1. Whatisthe16-bithexadecimalrepresentationofeachofthefollowingsigneddecimalintegers?
2. –21 b. –45

1. The following 16-bit hexadecimal numbers represent signed integers. Convert each to decimal.
2. 6BF9 b. C123

1. The following 16-bit hexadecimal numbers represent signed integers. Convert each to decimal.
2. 4CD2 b. 8230

1. What is the decimal representation of each of the following signed binary numbers? 
2. 10110101
3. 00101010 
4. 11110000

1. What is the decimal representation of each of the following signed binary numbers? 
2. 10000000
3. 11001100 
4. 10110111

1. What is the 8-bit binary (two’s-complement) representation of each of the following signed decimal integers?
2. –5 b. –42 c. –16

1. What is the 8-bit binary (two’s-complement) representation of each of the following signed decimal integers?
2. –72 b. –98 c. –26

1. What is the sum of each pair of hexadecimal integers?
2. 6B4 + 3FE
3. A49 + 6BD

1. What is the sum of each pair of hexadecimal integers?
2. 7C4 + 3BE
3. B69 + 7AD

1. What are the hexadecimal and decimal representations of the ASCII character capital B?

1. What are the hexadecimal and decimal representations of the ASCII character capital G?

1. Challenge: What is the largest decimal value you can represent, using a 129-bit unsigned

integer?

1. Challenge: What is the largest decimal value you can represent, using a 86-bit signed integer?

1. Create a truth table to show all possible inputs and outputs for the boolean function described by ¬(A ∨ B ).

1. Create a truth table to show all possible inputs and outputs for the boolean function described by ( ¬A ∧ ¬B ). How would you describe the rightmost column of this table in relation to the table from question number 25? Have you heard of De Morgan’s Theorem?

1. If a boolean function has four inputs, how many rows are required for its truth table?

1. How many selector bits are required for a four-input multiplexer?