Question

(1) Convert decimal number into hexadecimal number :
(594)10 = (?)16

(2) Convert binary number to decimal number: (1001011)2 = (?)10



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Answer 1

Answer:

(1001011)2 = (75)10

Step by step solution

Step 1: Write down the binary number:

1001011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x26 + 0x25 + 0x24 + 1x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x64 + 0x32 + 0x16 + 1x8 + 0x4 + 1x2 + 1x1 = 64 + 0 + 0 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

64 + 0 + 0 + 8 + 0 + 2 + 1 = 75. This is the decimal equivalent of the binary number 1001011.