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Binary Lesson 2 Bytes. Base Ten. Normal Numbers Each place has one of these values: 0 1 2 3 4 5 6 7 8 9 147 = 1*100 + 4*10 + 7 Or 1*10^2 + 4*10^1 + 7*10^0. Base Ten. 1 4 7. Hundreds place Number of hundreds 10^2. Ones place Number of ones 10^0. Tens place Number of tens 10^1.
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Base Ten Normal Numbers Each place has one of these values: 0 1 2 3 4 5 6 7 8 9 147 = 1*100 + 4*10 + 7 Or 1*10^2 + 4*10^1 + 7*10^0
Base Ten 147 Hundreds placeNumber of hundreds 10^2 Ones placeNumber of ones 10^0 Tens placeNumber of tens 10^1
Base Two Binary Numbers Each place has one of these values: 0 1 11 = 1 * 2 + 1 = 3 Or 1*2^1 + 2^0
Base Two 101 Fours placeNumber of fours 2^2 Ones placeNumber of ones 2^0 Twos placeNumber of twos 2^1
Counting to 7 Base Two Base Ten 0 0 1 1 10 2 11 3 100 4 101 5 110 6 111 7
Counting to 15 Base Two Base Ten Base Two Base Ten 0 0 1000 8 1 1 1001 9 10 2 1010 10 11 3 1011 11 100 4 1100 12 101 5 1101 13 110 6 1110 14 111 7 1111 15
Four Bits Make a Nybble 4s 2s 1s 8s 1001
Eight Bits Make a Byte 128s 64s 64s 32s 32s 32s 16s 16s 16s 8s 8s 8s 8s 4s 4s 4s 4s 2s 2s 2s 1s 1s 10011001 So this number is 128 + 16 + 8 + 1 = 153
What is 6 in binary? 00111111 00011110 00000111 00000110 00000011 1 of 6
What is 15 in binary? 00111111 00011111 00001111 00000111 00000011 2 of 6
What is 32 in binary? 00011010 00100000 01000000 10000000 00011111 3 of 6
What is 59 in binary? 11111111 10000011 00101111 00111101 00111011 4 of 6
What is 01000000 in decimal? 10 100 128 64 32 5 of 6
What is 01111111 in decimal? 87 109 111 127 255 6 of 6