Binary Numbers Practice

Convert to decimal 11 1101 1010 0110

Convert to decimal 11 1101 11 11012=32+16+8+4+1 =61 1010 0110 32 16 8 4 2 1 11 11012=32+16+8+4+1 =61 1010 0110 128 64 32 16 8 4 2 1 128 64 32 16 8 4 2 1 1010 01102=128+32+4+2 =166

Convert to binary 58 109

Convert to binary 58 32 16 8 4 2 1 32 16 8 4 2 1 32 16 8 4 2 1 32 16 8 4 2 1 32 16 8 4 2 1 58 – 32 = 26 greatest power of 2 that fits: 16 26 – 16 = 10 greatest power of 2 that fits: 8 10 – 8 = 2 greatest power of 2 that fits: 2 2 – 2 = 0  stop 58 = 11 10102

Convert to binary 109 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 109 – 64 = 45 greatest power of 2 that fits: 32 45 – 32 = 13 greatest power of 2 that fits: 8 13 – 8 = 5 greatest power of 2 that fits: 4 5 – 4 = 1 greatest power of 2 that fits: 1 1 – 1 = 0  stop 109= 110 11012