https://decimal-to-binary.com/decimal-to-binary-converter-online.html?id=62704

Transfer 1ffffffff from hexadecimal in binary number system

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This transfer is possible in two ways: direct transfer and using the decimal system.

first, let\'s make a direct transfer.

let\'s do a direct translation from hexadecimal to binary like this:

1ffffffff16 = 1 f f f f f f f f = 1(=0001) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) = 1111111111111111111111111111111112

answer: 1ffffffff16 = 1111111111111111111111111111111112

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

1∙168+15∙167+15∙166+15∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 1∙4294967296+15∙268435456+15∙16777216+15∙1048576+15∙65536+15∙4096+15∙256+15∙16+15∙1 = 4294967296+4026531840+251658240+15728640+983040+61440+3840+240+15 = 858993459110

got It: 1ffffffff16 =858993459110

Translate the number 858993459110 в binary like this:

the Integer part of the number is divided by the base of the new number system:

 8589934591 2 -8589934590 4294967295 2 1 -4294967294 2147483647 2 1 -2147483646 1073741823 2 1 -1073741822 536870911 2 1 -536870910 268435455 2 1 -268435454 134217727 2 1 -134217726 67108863 2 1 -67108862 33554431 2 1 -33554430 16777215 2 1 -16777214 8388607 2 1 -8388606 4194303 2 1 -4194302 2097151 2 1 -2097150 1048575 2 1 -1048574 524287 2 1 -524286 262143 2 1 -262142 131071 2 1 -131070 65535 2 1 -65534 32767 2 1 -32766 16383 2 1 -16382 8191 2 1 -8190 4095 2 1 -4094 2047 2 1 -2046 1023 2 1 -1022 511 2 1 -510 255 2 1 -254 127 2 1 -126 63 2 1 -62 31 2 1 -30 15 2 1 -14 7 2 1 -6 3 2 1 -2 1 1

the result of the conversion was:

858993459110 = 1111111111111111111111111111111112
answer: 1ffffffff16 = 1111111111111111111111111111111112