Bit # Power of 2 Bit Values Multiplier Byte Value To convert a binary number into its decimal equivalent, we multiply the value in each bit corresponding power of 2 and add the products together. Consider the 8-bit binary number 010111002: 7 7 00111000 <- 56 0 128 11111111 <- 255 4 4 1 16 3 3 1 400 2 2 1 4 8 1 6 5 6 5 1 0 64 32 0*128 + 1*64 + 0*32 + 1*16+ 1*8 + 1*4 + 0*2 + 0*1 = 9 1 0 0 0 0 X 1 2
Bit # Power of 2 Bit Values Multiplier Byte Value To convert a binary number into its decimal equivalent, we multiply the value in each bit corresponding power of 2 and add the products together. Consider the 8-bit binary number 010111002: 7 7 00111000 <- 56 0 128 11111111 <- 255 4 4 1 16 3 3 1 400 2 2 1 4 8 1 6 5 6 5 1 0 64 32 0*128 + 1*64 + 0*32 + 1*16+ 1*8 + 1*4 + 0*2 + 0*1 = 9 1 0 0 0 0 X 1 2
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Can you explain the multiplier
And Byte Value please and thank you
![Bit #
Power of 2
Bit Values
Multiplier
Byte Value
7
To convert a binary number into its decimal equivalent, we multiply the value in each bit
corresponding power of 2 and add the products together.
Consider the 8-bit binary number 010111002:
7
00111000 <- 56
0
128
...
11111111 <-255
4
4
1
16
3
3
1
8
1
1
0
2
19
6
5
2
2
5
6
1
0
1
4
64
32
0*128 + 1*64 + 0*32 + 1*16 + 1*8 + 1*4 + 0*2 + 0*1 = 92
0
0
0
X 1
4°C Sunny
DA
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3591a1b-9777-4e3a-921d-886210c83a12%2F0335a0e9-7f07-41b8-9ae0-121f0f023cf2%2Fey1fxo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Bit #
Power of 2
Bit Values
Multiplier
Byte Value
7
To convert a binary number into its decimal equivalent, we multiply the value in each bit
corresponding power of 2 and add the products together.
Consider the 8-bit binary number 010111002:
7
00111000 <- 56
0
128
...
11111111 <-255
4
4
1
16
3
3
1
8
1
1
0
2
19
6
5
2
2
5
6
1
0
1
4
64
32
0*128 + 1*64 + 0*32 + 1*16 + 1*8 + 1*4 + 0*2 + 0*1 = 92
0
0
0
X 1
4°C Sunny
DA
1
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