Binary to Decimal Quiz - GR8 - F2

Choose the correct decimal value of each binary. 00000001

• 0

• 1

• 2

• 4

Answer explanation

The binary number 00000001 represents the decimal value 1. Each binary digit (bit) corresponds to a power of 2, and in this case, only the last bit is '1', which equals 1 in decimal.

Choose the correct decimal value of each binary. 00001010

• 5

• 8

• 10

• 12

Answer explanation

The binary number 00001010 converts to decimal by calculating 0*2^7 + 0*2^6 + 0*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0, which equals 8 + 2 = 10. Thus, the correct answer is 10.

Choose the correct decimal value of each binary. 00010101

• 20

• 21

• 22

• 25

Answer explanation

The binary number 00010101 converts to decimal by calculating (0*2^7 + 0*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0) = 16 + 4 + 1 = 21. Thus, the correct answer is 21.

Choose the correct decimal value of each binary. 00111111

• 63

• 31

• 127

• 15

Answer explanation

The binary number 00111111 converts to decimal by calculating 0*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 1*2^0, which equals 63. Thus, the correct answer is 63.

Choose the correct decimal value of each binary. 01111000

• 120

• 112

• 124

• 126

Answer explanation

The binary number 01111000 converts to decimal by calculating (0*2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 0*2^0) = 64 + 32 + 16 + 8 = 120. Thus, the correct answer is 120.

Choose the correct decimal value of each binary. 10101010

• 160

• 170

• 180

• 190

Answer explanation

The binary number 10101010 converts to decimal by calculating: 1*2^7 + 0*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 128 + 32 + 8 + 2 = 170. Thus, the correct answer is 170.

Choose the correct decimal value of each binary. 11111111

• 254

• 255

• 256

• 257

Answer explanation

The binary number 11111111 equals 2^7 + 2^6 + 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0, which sums to 255 in decimal. Therefore, the correct answer is 255.

Choose the correct decimal value of each binary. 10000000

• 64

• 100

• 128

• 200

Answer explanation

The binary number 10000000 represents 2^7, which equals 128 in decimal. Therefore, the correct answer is 128.

Choose the correct decimal value of each binary. 01100110

• 99

• 102

• 96

• 98

Answer explanation

The binary number 01100110 converts to decimal by calculating (0*2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 0*2^3 + 1*2^2 + 1*2^1 + 0*2^0) = 64 + 32 + 4 + 2 = 102. Thus, the correct answer is 102.

Choose the correct decimal value of each binary. 01000001

• 64

• 65

• 66

• 67

Answer explanation

The binary number 01000001 converts to decimal as follows: 0*2^7 + 1*2^6 + 0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 64 + 1 = 65. Therefore, the correct decimal value is 65.